Schröndinger's cat has always had the opportunity to go through an out-of-the-body experience such that no matter if you open the box or not, he'd always be alive. In other words, the local intersections of different branes is the only known mechanism to bring hidden space-time domains directly inside our world and our accessible physical experience.

... so that what happens to the experiencer is that he perceives time as one of the dimensions of neighbouring Universes born together with ours and expanding by another law. So yes, there must be a hidden realm between the awake and dream states in which both our and theirs universes intersect.

the rate of time alteration per distance unit is what characterizes any encounter; you see, you experience different things depending on the distance you find yourself to the object. This is the crux of the matter.